Numerical procedure for the determination of an unknown coefficients in parabolic equations

DOI10.1016/S0010-4655(01)00470-2zbMath0993.65107WikidataQ127293475 ScholiaQ127293475MaRDI QIDQ1348069

Afet Golayoglu Fatullayev

Publication date: 15 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

finite difference methodnumerical examplesinverse problemsparabolic equationsunknown coefficientsoverspecified data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (7)

A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point ⋮ Comparing numerical methods for inverse coefficient problem in parabolic equation ⋮ Simultaneous determination of time and space-dependent coefficients in a parabolic equation ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement ⋮ The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions ⋮ Numerical solution of the inverse problem of determining an unknown source term in a two-dimensional heat equation

Cites Work

• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• An inverse problem for an unknown source in a heat equation
• Uniqueness theorems for some converse problems of heat conduction
• Structural identification of an unknown source term in a heat equation
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• Numerical solution of the inverse problem of determining an unknown source term in a heat equation
• Determination of unknown coefficient in nonlinear diffusion equation

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